Direct Simulation Scheme Derived from the Boltzmann Equation.VI.Velocity Correlation in a Model Cell

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概要

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• Correlation of velocities of the molecules in a :simulation cell is examined bydevising a stochastic model of free molecular motions across cell boundary; themodel is such that each molecule refreshes its vc:locity over time step Ar withprobability cfiAr, where $>0. Although the correlation coefficient of velocities ofa molecule and its collision partner increases with time, yet it remains at mostwithin 0(V '), where N is the number of molecules in the cell. This forms amarked contrast to the result for no refreshing process of $-=0; in case of $=0the correlation coefficient tends to unity as r+co, T being the time measured inunits of mean free time. Also, correlation coefficients of velocities at two timepoints r, r-I-q are examined. Suppose that p -0(l), 7V>>1 and r>>1. If the twovelocities belong to a single molecule, the coefficient is e """-{-O(V ') where0z2. If they belong to different molecules, it is 0(V-"). A more restrictivecondition r<<N is required for these estimates to hold in case of $=0.

• 社団法人日本物理学会の論文
• 1982-01-15

著者

• Nanbu Kenichi

  Institute Of High Speed Mechanics Tokyo University

• Nanbu Kenichi

  Institute For Fluid Science Tohoku University

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